Answer:
[tex]y = {(0.7634)}^{4} \\ log(y) = 4 log(0.7634) \\ log(y) = - 0.46899 \\ y = {10}^{ - 0.46899} \\ y = 0.3396[/tex]
Which pair of angles has congruent values for the sin x° and the cos y°?
A) 42°, 138°
B) 42°, 48°
C) 42°,132°
D) 42°, 42°
Answer:
B: 42°, 48°
Step-by-step explanation:
I took the test.
The pair of angles have congruent values for the sin x° and the cos y° is 42; 48.
What are congruent angles?Angles that are of the same measurement are called congruent.
Suppose that two angles ∠A and ∠B are of the same measure,
then
[tex]m\angle A = m\angle B[/tex]
is the notation to say that they are of the same measurement, where the small m shows that its the measurement of the angles they're preceding.
We write the congruency between them as;
[tex]\angle A \cong \angle B[/tex]
Congruent angles can be defined as a type of angle that is known to have all sides in equal measure.
sin x = cos (90-x)
therefore, sin 42 = cos(90-42)
= cos 48
Hence, option B) 42°, 48° is correct
Learn more about congruent angles ;
brainly.com/question/2938476
#SPJ2
Create a BOX PLOT with this data set by using the Jamboard attached to this assignment... 3, 1, 3, 7, 5, 2, 3, 6, 3
Answer:
Step-by-step explanation:
in order to make a box plot you need to know 5 things.
the minimum, the first quartile, the median, the third quartile, and the maximum value. aka the five number summary
using your calculator you can find that in this set of values:
min = 1
Q1 = 2.5
med (Q2) = 3
Q3 = 5.5
max = 7
the box plot will look something like this:
Find the surface area of the cylinder.
Answer:
exact: 48pi cm^2
approximate: 150.8 cm^2
Step-by-step explanation:
SA = 2 * (pi)r^2 + 2(pi)rh
SA = 2 * pi * (3 cm)^2 + 2(pi) * 3 cm * 5 cm
SA = pi(18 cm^2 + 30 cm^2)
SA = 48pi cm^2
SA = 150.8 cm^2
what percentage of discount should be in a watch costing Rs 270 Such that a custumer can by Rs 243 ?
Answer:
10 percentage is the ans
Step-by-step explanation:
see the pic there is full step
pls helppp
1/2•7•24=
Answer:
84
Step-by-step explanation:
0.5 · 7 · 24
0.5 · 168
84
Answer:
84
Step-by-step explanation:
Step 1: Convert number to a fraction
[tex]24=\frac{24}{1}[/tex]
[tex]\frac{1}{2}\times \frac{24}{1}\times \:7[/tex]
Step 2: Factor the number
[tex]\:24=2\times \:12[/tex]
[tex]\frac{2\times \:12}{2}\times \:7[/tex]
Step 3: Cancel the common factor
[tex]2[/tex]
Step 4: Multiply the remaining numbers
[tex]12\times \:7\\\\= 84[/tex]
Therefore, [tex]\frac{1}{2}\times 7\times 24\:=\:84[/tex]
what is
[tex] \frac{1}{4} + \frac{3}{10} + \frac{5}{21} [/tex]
show full work
thanks
Step-by-step explanation:
1/4+3/10+5/21
105+42+100/420
=247/420
=0.588
[tex]\huge{ \mathcal{ \underline{ Answer} \: \: ✓ }}[/tex]
[tex]\longrightarrow \dfrac{247}{420} [/tex]
or
[tex]\longrightarrow0.588[/tex]
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
solve -2 1/3 - (-5)=
A: 2 2/3
B: 3 2/3
C: 3 1/3
D: -7 1/3
Answer:
A. [tex]2\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]-2\frac{1}{3} -(-5)[/tex]
[tex]-2\frac{1}{3} +5[/tex]
Chris went out to dinner. His total bill before tax and tip was $23.40. He was charged an additional 8% tax and he also paid 15% tip on the original bill
Answer:
total cost = amount paid + tax paid + tip
total cost = $23.40 + 1.872 + $3.51
Step-by-step explanation:
Chris went out to dinner. His total bill before tax and tip was $23.40 He was charged an additional 8% tax and he also paid 15% tip on the original bill. Write an expression that will show the total cost including tax and tip.
total cost = amount paid + tax paid + tip
tax paid = 8% x $23.40
0.08 x $23.40 = $1.872
tip = 15% x original bill
0.15 x $23.40 = $3.51
total cost = $23.40 + 1.872 + $3.51
Find the area of the figure below
Answer:
the answer 240
Step-by-step explanation:
times 24 and 10 to get 240 m
Please helppppp!!!!! asapppppppppppppp
Answer:
option C both
Step-by-step explanation:
13x - 42 = 18 -7x
13x + 7x -42 = 18
20x - 42 = 18 ------------joey
13x - 42 = 18 - 7x
13x = 18 +42 -7x
13x = 60 -7x ---------nolan
I NEED PLEASE IT WOULD REALLY HELP ME ALOT !!
NO LINK OR ZOOMS
Answer:
Step-by-step explanation:
2. A guy wire is attached to the top of a radio tower to help support it. The tower
is 72 feet tall and the wire is attached to the ground 50 feet from the midline of
the tower. Find the length of the guy wire to the nearest foot.
Which best describes the number
71
Each side of a regular octagon has a length of 3 meters.
What is the perimeter of the octagon?
A. 9 m
ОВ.
B. 12 m
C. 18 m
D. 24 m
E. 27 m
Answer:
24cm
Step-by-step explanation:
3x8=24cm
Answer:
its e (27m).............................
anyone have the answer for this
[tex]\huge\bold{To\:find:}[/tex]
✎ The length of the hypotenuse.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"c"\:is\:5.10\:km.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex]( {perpendicular})^{2} + ( {base})^{2} = ( {hypotenuse})^{2} \\ ⇢ ( {5 \: km})^{2} + ( {1 \: km})^{2} = ( {c})^{2} \\ ⇢ 25 \: {km}^{2} + 1 \: {km}^{2} = {c}^{2} \\ ⇢ 26 \: {km}^{2} = {c}^{2} \\ ⇢ \sqrt{26 \: {km}^{2} } = c \\ ⇢5.0990 \: km = c \\ ⇢5.10 \: km = c[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:5.10\:km.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( {5 \: km})^{2} + ( {1 \: km})^{2} = ( {5.10 \: km})^{2} \\ ⇝25 \: {km}^{2} + 1 \: {km}^{2} = 26 \: {km}^{2} \\ ⇝26 \: {km}^{2} = 26\: {km}^{2} \\ ⇝L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Your house had a value of $480,000 and increased in value by 3.5%. How much is your house
worth now?
Answer:
$496800
Step-by-step explanation:
You need to find 3.5% of 480,000 and then add it to 480000:
You convert 3.5% to 0.035 (divided by 100).
Now you multiply 0.035 * $480,000 = $16800 (this is the amount of money to add to the value of the house)
Total value of the house: $480,000 + $16,800 = $496800
PLs, help me with this math question, and please answer if you only know it.
Answer:
Step-by-step explanation:
This is quite a doozy, so try and follow along. If you don't know your circle stuff well, it will be more difficult for you to understand how all this comes together.
First, we were given that angle CBD = 55. That means that angle CED is also 55 since they are both inscribed angles and they both intercept the same arc, arc CD. Angle BFC is congruent to angle 5 because they are vertical and vertical angles are congruent, so that means that triangle BFC is congruent to triangle EFD because of Angle-Angle-Side. Now that we got that out of the way, let's move on. We will come back to that in a bit.
Angle 1 intercepts arc BE and since angle 1 is an inscribed angle, it is half the measure of its intercepted arc. Therefore,
∠1 = 25° ; angle BCE also equals 25 degrees since they are both inscribed and they both intercept the same arc (again, arc BE).
If angle BCE is 25, and angle CBD is 55, then angle F, by the Triangle Angle Sum Theorem, must equal 180 - 25 - 55 = 100. And if Angle F = 100, then
∠5 = 100° . Angles 4 and 5 are supplementary, therefore,
∠4 = 80°
Since angle CBD was given as 55 and is an inscribed angle for arc CD, then arc CD is twice the measure of its inscribed angle and arc CD is 110 degrees. Angle 6, then, is one-half the difference of arc CD and arc BE so
∠6 = 30°
Angles 2 and 3 are congruent since they are both inscribed and they both intercept the same arc (arc DE); and since triangles BFC and EFD are congruent, by CPCTC, sides BF and EF are congruent...which means by the IsoscelesTriangle Theorem, angle 2 and angle BEC are congruent. 180 - 80 = 100 and divide that in half to get that
∠2 ≅ ∠3 = 50°
Lastly, angle 7 is half the measure of its intercepted arc (arc BE, given as 50), therefore,
∠7 = 25°
CD is the Diameter. The measure of Arc CD is lle Find the length of the radius in the circle.
Answer:
The answer is 5.5 because half of 11 is 5.5 and diameter is half of circumference.
Answer:
5.5
Step-by-step explanation:
diameter=11
radius = diameter÷2
r=11÷2
radius=5.5
If 4 daps = 7 yaps, and 5 yaps = 3 baps, how many daps equal 42 baps? **GIVING OUT BRAINLIEST**
Answer:
40 daps
Step-by-step explanation:
lets say daps is d, yaps are y and baps are b
4d = 7y, 5y=3b
First convert to y
4/7d = y
Now convert that to b
5(4d/7) = 3b
20d / 7 = 3b
20d / 21 = b
Plug it in:
42(20d/21)
40d
aka 40 daps
Need help with this struggling a bit.
V = ( 4/3 ) × π × r^3
V = ( 4/3 ) × π × ( 6/2 )^3
V = ( 4/3 ) × π × ( 3 )^3
V = ( 4/3 ) × 3 × 9 × π
V = 4 × 9 × π
V = 36 π m^3
Thus the correct answer is option D .
Last year, ginger cost $15 per kilogram. Due to a harvest shortage this year, the price of ginger has to increase by 15% per kilogram. Find the cost of ginger per kilogram this year.
=======================================================
Explanation:
15% of 15 = 0.15*15 = 2.25
The cost has increased by $2.25 which means the cost per kilogram is now 15+2.25 = 17.25 dollars
------------
As a slight shortcut, we can multiply the old cost (15) by the multiplier 1.15 to get the same result:
1.15*15 = 17.25
This method allows us to chain together many percentage increases, and it also allows us to include percentage decreases as well. Note how 1.15 is basically the result of 100% + 15% = 1.00+0.15 = 1.15
23 more than jenny’s score is 52 use the variable j to represent her score
finish the question
Step-by-step explanation:
Answer:
j+23=52
Step-by-step explanation:
please help!!!!!!! this is the last question for me to pass
Answer:
B is most credible
Hope this helped.
pls answer thank you
9514 1404 393
Answer:
484 cm³
Step-by-step explanation:
The formula for the volume of a pyramid is ...
V = 1/3Bh
where B is the base area and h is the height.
Here, the base is a square 11 cm on a side, so its area is ...
B = s² = (11 cm)² = 121 cm²
Then the volume of the pyramid is ...
V = 1/3(121 cm²)(12 cm) = 484 cm³
What are the solutions of the equation (x – 8)2 = 144?
Enter your answer as the correct values, separated by a comma, like this: 42,53
If your answer includes a fraction, use the / symbol.
enter it like this: 3/14
[tex]x = 80[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex](x - 8)2 = 144 \\ ⇢ 2x - 16 = 144 \\ ⇢ 2x = 144 + 16 \\ ⇢ 2x = 160 \\ ⇢ x = \frac{160}{2} \\ ⇢ x = 80[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{To\:verify }}{\orange{:}}}}}[/tex]
[tex]2x - 16 = 144 \\ ➵ \: 2 \times 80 - 16 = 144 \\ ➵ \: 160 - 16 = 144 \\ ➵ \: 144 = 144 \\ ➵ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Simplify. Assume t is greater than or equal to zero.
45t2
t is greater than
Step-by-step explanation:
make me brainlist
Solve the following question
Answer: It's C f"(x)= 15x^2+235 Hope that helps!
Step-by-step explanation:
Find the Greatest Common Factor (GCF).
GCF = 5
2. Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
5(15x^2/5+235/5)
3. Simplify each term in parentheses and that would give you 5(3x^2+47) and that's why I think it C but i'm not so sure but if you get it right can you please make me Brainliest bye and I hope you get it right!
Greatest common factor of 54,72
2×+7=17 find the value of x
Answer:
x = 5
Step-by-step explanation:
Given
2x + 7 = 17 ( subtract 7 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
If 13x + 2 = 15, then 6x =_____?
Answer:
6
Step-by-step explanation:
13x is 13
x is 1
6x is 1 times 6 is 6
Answer:
13x+2=15
13x=15-2
x=13/13
x=1
6x=6*1
=6
Step-by-step explanation: